Finding the Third Proportional to 35,811 and 83,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,811 : 83,245.50 = 83,245.50 : x
2. Step 2: Convert to fraction form
   35,811/83,245.50 = 83,245.50/x
3. Step 3: Cross multiply
   35,811x = 83,245.50 × 83,245.50
4. Step 4: Simplify right side
   35,811x = 6,929,813,270.25
5. Step 5: Solve for x
   x = 6,929,813,270.25/35,811
6. Step 6: Final answer
   x = 193,510.74